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Formula:3211

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Digital Library of Mathematical Functions ID 8.5.E4

γ ⁡ ( a , z ) = a - 1 ⁢ z 1 2 ⁢ a - 1 2 ⁢ e - 1 2 ⁢ z ⁢ M 1 2 ⁢ a - 1 2 , 1 2 ⁢ a ⁡ ( z ) . incomplete-gamma 𝑎 𝑧 superscript 𝑎 1 superscript 𝑧 1 2 𝑎 1 2 superscript 𝑒 1 2 𝑧 Whittaker-confluent-hypergeometric-M 1 2 𝑎 1 2 1 2 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(a,z\right)=a^{-1}z^{\frac{1}{2}a-\frac% {1}{2}}e^{-\frac{1}{2}z}M_{\frac{1}{2}a-\frac{1}{2},\frac{1}{2}a}\left(z\right% ).}}


Constraint(s)

Symbols List

  • M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}} : Whittaker confluent hypergeometric function
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • γ ⁡ ( a , z ) incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:54.
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